I believe that you are correct in both of your assumptions. I can remember when I was in Esfahan (during the revolution of the Shah), spontaneous demonstrations would occur. The Shah's Army would scatter them, similar to what has happened a few weeks ago with the student demonstrations. In my belief, the students and other supporters are not strong enough at this time to overthrow the Mullahs or the Revolutionary Guards. Only time will tell which way the situation will go.
No, they don't seem strong enough now. They need help.
Why were you in Isfahan? Working?